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Finding the Fourth Proportional to 16,416, 22,654.56 and 8,964.48

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Solution

The fourth proportional to 16,416, 22,654.56 and 8,964.48 is: 12,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416 : 22,654.56 = 8,964.48 : x
  2. Step 2: Convert to fraction form
    16,416/22,654.56 = 8,964.48/x
  3. Step 3: Cross multiply
    16,416x = 22,654.56 × 8,964.48
  4. Step 4: Simplify right side
    16,416x = 203,086,350.03
  5. Step 5: Solve for x
    x = 203,086,350.03/16,416
  6. Step 6: Final answer
    x = 12,371.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.